1. What is the lowest common denominator in this addition of algebraic fractions ?

A. a + bB. bC. b(a + b)D. aE. ab + 2a + 2b

a 2+a+b b

Students should be able to answer this questions without picking up a pencil.True

False

2. A 16-inch chord is drawn on a circle having a diameter of 34 inches. How far, in inches, is the chord from the center of the circle?

A. 8B. 15C. 16D. 17E. 18

Calculators are needed to solve the previous problem.

True

False

3. An item is sold for $2.00, which is 20% less than the regular price. What is the regular price?

A. $1.60B. $1.80C. $2.20D. $2.50E. $2.70

Did you use pencil and paper or a calculator to solve the previous problem. If so, which did you use?

4. Point B (3, -4) is the midpoint of segment AC. If the coordinates of A are (-8, 3), what are the coordinates of C?

A. (-5, -1)B. (-19, 10)C. ( )D. (-5, 7)E. (14, -11)

1 12 ,-2 2

Talk to a partner about the strategy you chose to solve the previous problem

5. The sides of a rectangular solid are a, a + 1, a + 2. What is the volume?

A. a3 + 3B. a3 + 3a2 + 2C. a3 + 3a2 + 2D. a3 + 3a2 + 2aE. 3a + 3

My students should use pencil and paper on this problem.

True

False

6.

A. .

B. .

C. .

D. .

E. .

105

1 1?

5 2 5

510

-15

- 55

10 5

This problem needs a calculator!

True

False

7. Which equationis represented bythis graph?

4

2

-2

1

A. x+ y = 1

B. 2x – y = 1

C. x + 2y = 1

D. x + y = 2

E. x – y = + 1

Which are the only two possible choices for an answer to the previous question?

A. A and DB. B and EC. A and ED. B and CE. D and D

8. For all x, (- 2 – 3x)2 = ?

A. 9x2 + 4B. 9x2 – 6x + 4C. 9x2 + 12x + 4D. 9x2 + 12x – 4E. 9x2 -12x + 4

Talk to your partner about how students interpret “for all x.”

9. What is the length, in inches, of the longest umbrella that will fit inside an empty suitcase that measures 24” x 10” x 8”?

A. 23.5B. 25C. 26D. 28E. 29

I drew a sketch to work this problem.

True

False

10. If the length of the bases of an isosceles trapezoid are 15 feet and 21 feet, respectively, and each leg is 5 feet long, what is the number of square feet in the area of the trapezoid?A. 72B. 75C. 90D. 144E. 180

I drew a sketch to work this problem.

True

False